A quadratic regression problem for two-state algebras with application to the Central Limit Theorem

Marek Bozejko; Wlodzimierz Bryc

arxiv: 0802.0266 · v2 · submitted 2008-02-02 · 🧮 math.OA · math.PR

A quadratic regression problem for two-state algebras with application to the Central Limit Theorem

Marek Bozejko , Wlodzimierz Bryc This is my paper

classification 🧮 math.OA math.PR

keywords theoremtwo-statealgebrasapplicationcentralextendfreegeneralize

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We extend a free version of the Laha-Lukacs theorem to probability spaces with two-states. We then use this result to generalize a noncommutative CLT of Kargin to the two-state setting.

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A quadratic regression problem for two-state algebras with application to the Central Limit Theorem

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